Keep in mind that vision and eysight are two different things. Vision training my be helpful but so would the correct lenses. It is very complicated to explain but unfortunately most "eye doctors" treat the eye they do not treat vision.
Here are a few things you can do that might help. Wear polarizing lenses that will help with the glare quite a bit. My guess is your eyes are quite healthy and that your brain can't keep up with all the processing involved with reading and filtering out unneeded information like glare. I also think that your brain can't deal with what is going on in your periferal field. and the fact that your glasses don't cover the peripheral field also raises hell with your visual processing. I mean the lens in your eye doesn't know what to do with the blurred info it is getting from your peripheral areas of sight.
I don't want to get too technical as to why this may work for you but if you can physically block the periperal areas while you are reading. Basically what is happening is your brain is processing your peripheral vision when ever your eyes are open. You are not consciencely aware of what is in your peripery unless the brain detects motion. This is a survival thing. If there is a glitch in this procssing ot the signal strenght is unregulated you may experience nausea, vertigo, and panic. Vision is a very complex process. It involves your inner ear, optic nerves, cerebellum, visual cortex ect... Many processes have to occurr very rapidly.
Anyway try this. Block your out side peripheral vission for starts with black blinders and see if reading is any easier. Then get some cheap not too sticky black electrical tape and place it over the part of your lenses closest to your nose. Usually about a finger width will do the trick. You may have to experiment a bit with where to position the tape. your may notice that the print will appear darker, clearer and more stable. If this works get a pair of glasses and modify them for the task of reading.
I noticed more visual difficulty when I switched from glass to plastic lenses many years ago. Plastic and poly-carbonate lenses IMHO cause more distortion and chromatic aberation than glass. I believe that glass has superior optical qualities. It is just so heavy. There is also a curve that is used to obtain a lens optical strength several different curves can arrive at the same strength. depending on the size and shape of the lenses, amount of correction required and the patient's needs different curves should be used. It is my understanding that this part of the process is often neglected. The idea that your eyes "adapt" to the lenses is BS. It is your brain that adapts. I don;t think that is a good thing.
I hope to get laser correction some day. Then all I'll need is reading glasses.
Good luck and let me know if what I reccomend works.
http://visionandpsychosis.net/
http://visionandpsychosis.net/what_is_Subliminal_peripheral_vision_psycho.htm